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Finding the Fourth Proportional to 3,056.66, 4,218 and 1,730.51

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Solution

The fourth proportional to 3,056.66, 4,218 and 1,730.51 is: 2,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.66 : 4,218 = 1,730.51 : x
  2. Step 2: Convert to fraction form
    3,056.66/4,218 = 1,730.51/x
  3. Step 3: Cross multiply
    3,056.66x = 4,218 × 1,730.51
  4. Step 4: Simplify right side
    3,056.66x = 7,299,291.18
  5. Step 5: Solve for x
    x = 7,299,291.18/3,056.66
  6. Step 6: Final answer
    x = 2,388.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.